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Finding the Fourth Proportional to 27,471.60, 37,882.32 and 23,505.84

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Solution

The fourth proportional to 27,471.60, 37,882.32 and 23,505.84 is: 32,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.60 : 37,882.32 = 23,505.84 : x
  2. Step 2: Convert to fraction form
    27,471.60/37,882.32 = 23,505.84/x
  3. Step 3: Cross multiply
    27,471.60x = 37,882.32 × 23,505.84
  4. Step 4: Simplify right side
    27,471.60x = 890,455,752.75
  5. Step 5: Solve for x
    x = 890,455,752.75/27,471.60
  6. Step 6: Final answer
    x = 32,413.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.